GCF of 6305/159, 2882/7308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6305/159, 2882/7308 i.e 1/387324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6305/159, 2882/7308.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6305/159,2882/7308?
Given fractions are 6305/159,2882/7308
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6305/159,2882/7308, numerators are 6305,2882
Denominators are 159,7308
The GCF of 6305,2882 is 1 .
LCM of 159,7308 is 387324.
The greatest common factor of 6305/159,2882/7308 = [GCF of 6305,2882]/[LCM of 159,7308]= 1/387324
Therefore, the GCF of 6305/159,2882/7308 is 1/387324.
To find the highest common factor of 6305,2882, we have to find the factors of both numbers and list the highest common factor.
The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305
The factors of 2882 are 1, 2, 11, 22, 131, 262, 1441, 2882
The HCF of 6305,2882 is 1.
Lets's calculate GCF of 6305,2882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6305,2882 By Matching Biggest Common Factor Method
Now, list down the factors of 6305
:1,5,13,65,97,485,1261,6305
Now, list down the factors of 2882
:1,2,11,22,131,262,1441,2882
Greatest Common Factor
We found the factors 6305,2882 . The biggest common factor number is the GCF number.
So the greatest common factor 6305,2882 is 1.
Lets's calculate LCM of 159,7308
| 3 | 159, 7308 |
| 53, 2436 |
∴ So the LCM of the given numbers is 3 x 53 x 2436 = 387324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387324
Therefore, the GCF of Fractions 6305/159,2882/7308 is 1/387324
Least Common Multiple of 159,7308 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 159,7308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,7308) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,7308) x common factors =3 x 1 = 3
LCM(159,7308) = ( 159 × 7308 ) / 3
LCM(159,7308) = 1161972 / 3
LCM(159,7308) = 387324
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FAQs on GCF of Fractions of 6305/159, 2882/7308
1. What is the HCF of 6305,2882?
The HCF of 6305,2882 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6305/159, 2882/7308?
Answer: GCF of Numerators as per given numbers 6305/159, 2882/7308 is
GCF of Numerators i.e. for 6305,2882 is 1
LCM of denominators i.e. for 159,7308 is 387324.
Thus, GCF of Fractions is 1/387324.Finally, GCF of Fractions for 6305/159, 2882/7308 is 1/387324.